A new basis and the Shapley value

被引：6

作者：

Yokote, Koji ^{[1
]}

Funaki, Yukihiko ^{[2
]}

Kamijo, Yoshio ^{[3
]}

机构：

[1] Waseda Univ, Grad Sch Econ, Shinjuku Ku, 1-6-1 Nishi Waseda, Tokyo 1698050, Japan

[2] Waseda Univ, Fac Polit Sci & Econ, Shinjuku Ku, 1-6-1 Nishi Waseda, Tokyo 1698050, Japan

[3] Kochi Univ Technol, Sch Econ & Management, 2-22 Eikokuji, Kochi, Kochi 7808515, Japan

来源：

MATHEMATICAL SOCIAL SCIENCES | 2016年 / 80卷

关键词：

GAMES;

D O I：

10.1016/j.mathsocsci.2015.12.003

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

The purpose of this paper is to introduce a new basis of the set of all TU games. Shapley (1953) introduced the unanimity game in which cooperation of all players in a given coalition yields payoff. We introduce the commander game in which only one player in a given coalition yields payoff. The set of the commander games forms a basis and has two properties. First, when we express a game by a linear combination of the basis, the coefficients related to singletons coincide with the Shapley value. Second, the basis induces the null space of the Shapley value. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：21 / 24

页数：4

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